Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 294, 471, 31, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 471, 31, 980 is 1
GCD(294, 471, 31, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 471, 31, 980 is 1
GCD(294, 471, 31, 980) = 1
Given Input numbers are 294, 471, 31, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 294, 471, 31, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 471, 31, 980 is 1.
Therefore, GCD of numbers 294, 471, 31, 980 is 1
Given Input Data is 294, 471, 31, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 471 is 3 x 157
Prime Factorization of 31 is 31
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(294, 471) = 46158
GCD(294, 471) = ( 294 x 471 ) / 46158
GCD(294, 471) = 138474 / 46158
GCD(294, 471) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 31) = 93
GCD(3, 31) = ( 3 x 31 ) / 93
GCD(3, 31) = 93 / 93
GCD(3, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 294, 471, 31, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 471, 31, 980?
GCD of 294, 471, 31, 980 is 1
2. Where do I get the detailed procedure to find GCD of 294, 471, 31, 980?
You can find a detailed procedure to find GCD of 294, 471, 31, 980 on our page.
3. How to find GCD of 294, 471, 31, 980 on a calculator?
You can find the GCD of 294, 471, 31, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.